document.write( "Question 157252: A car mechanic needs to mix together two solutions of anti-freeze. One solution is 100% pure anti-freeze and the other solution is 30% anti-freeze. The mechanic would like to have 2.5 gallons of a mixture that is 44% anti-freeze. How many gallons of each solution will the car mechanic need? \n" ); document.write( "
Algebra.Com's Answer #115885 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
x+.3(2.5-x)=.44*2.5
\n" ); document.write( "x+.75-.3x=1.1
\n" ); document.write( ".7x=1.1-.75
\n" ); document.write( ".75x=.35
\n" ); document.write( "x=.35/.7
\n" ); document.write( "x=.5 gallons of 100% antifreeze is needed.
\n" ); document.write( "2.5-.5=2 gallons of 30 % antifreeze is needed.
\n" ); document.write( "Proof:
\n" ); document.write( ".5+.3*2=1.1
\n" ); document.write( ".5+.6=1.1
\n" ); document.write( "1.1=1.1
\n" ); document.write( "
\n" );